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Finding the Fourth Proportional to 128,407.51, 177,093.63 and 77,409.06

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Solution

The fourth proportional to 128,407.51, 177,093.63 and 77,409.06 is: 106,758.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,407.51 : 177,093.63 = 77,409.06 : x
  2. Step 2: Convert to fraction form
    128,407.51/177,093.63 = 77,409.06/x
  3. Step 3: Cross multiply
    128,407.51x = 177,093.63 × 77,409.06
  4. Step 4: Simplify right side
    128,407.51x = 13,708,652,579.15
  5. Step 5: Solve for x
    x = 13,708,652,579.15/128,407.51
  6. Step 6: Final answer
    x = 106,758.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.